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Finding the Fourth Proportional to 423.32, 634.64 and 206.73

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Solution

The fourth proportional to 423.32, 634.64 and 206.73 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 634.64 = 206.73 : x
  2. Step 2: Convert to fraction form
    423.32/634.64 = 206.73/x
  3. Step 3: Cross multiply
    423.32x = 634.64 × 206.73
  4. Step 4: Simplify right side
    423.32x = 131,198.09
  5. Step 5: Solve for x
    x = 131,198.09/423.32
  6. Step 6: Final answer
    x = 309.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.